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Finding the Fourth Proportional to 731.68, 1,009.70 and 400.10

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Solution

The fourth proportional to 731.68, 1,009.70 and 400.10 is: 552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.68 : 1,009.70 = 400.10 : x
  2. Step 2: Convert to fraction form
    731.68/1,009.70 = 400.10/x
  3. Step 3: Cross multiply
    731.68x = 1,009.70 × 400.10
  4. Step 4: Simplify right side
    731.68x = 403,975.42
  5. Step 5: Solve for x
    x = 403,975.42/731.68
  6. Step 6: Final answer
    x = 552.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.